Confusion about one of Maxwells equations

Ax_xiom
So Faraday's Law of induction states this: $$ \nabla \times E = - \frac {\partial B} {\partial t} $$ Or if we write it in it's integral form: $$ \int E \cdot dl = - \frac {d \Phi_B} {dt} $$ which (to my understanding) means that the magnitude of the EMF around a coil of wire will be equal to... Read more